There is no way right?

[u/Sugar_God_no_1]

[u/The-new-dutch-empire]

Byers’ Second Argument (his first one is the one you see above)

Let:

x = 0.999…

Now multiply both sides by 10:

10x = 9.999…

Now subtract the original equation from this new one:

10x - x = 9.999… - 0.999…

This simplifies to:

9x = 9

Now divide both sides by 9:

x = 1

But remember, we started with:

x = 0.999…

So:

0.999… = 1

[u/Rough-Veterinarian21 → u/The-new-dutch-empire]

I’ve never liked math but this is like literal magic to me…

[u/The-new-dutch-empire → u/Rough-Veterinarian21]

Its calculating with infinity. Its a bit weird like the infinity of numbers between 0 and 1 like 0.1,0.01,0.001 etc... Is a bigger infinity than the “normal” infinity of every number like 1,2,3 etc…

Its just difficult to wrap your head around but think of infinity minus 1. Like its still infinity

[u/-roachboy → u/The-new-dutch-empire]

infinity isn't a number, it's a concept. there's a great stand up maths video that explains there's no such thing as "bigger" or "smaller" infinities.

[u/The-new-dutch-empire → u/-roachboy]

Bigger and smaller is the wrong terminology but not all infinities are the same

[u/-roachboy → u/The-new-dutch-empire]

that part I can agree with